Answer:
The player ran 119 yards
Step-by-step explanation:
The diagram below represents the problem.
The rectangular football fields is 64 yards wide and 100 yards long. A player ran the length of the diagonal.
Hence, we need to find the length of the diagonal of the rectangle.
The width, length and diagonal of the football field form a right-angled triangle, with opposite as 64 yards, adjacent as 100 yards and hypotenuse as x.
Applying Pythagoras' theorem, we have that:
[tex]hyp^2 = opp^2 + adj^2[/tex]
Therefore, the distance the player ran is:
[tex]x^2 = 64^2 + 100^2\\\\x^2 = 4096 + 10000\\\\x^2 = 14096\\\\x = \sqrt{14096} \\\\x= 119 yards[/tex]
The player ran 119 yards.
